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1105531020 = 22325112193263
BaseRepresentation
bin100000111100101…
…0001000010001100
32212001020210110100
41001321101002030
54231003443040
6301411211100
736252600336
oct10171210214
92761223410
101105531020
11518052900
1226a2a6a90
13148069389
14a6b7c456
15670c9b30
hex41e5108c

1105531020 has 216 divisors, whose sum is σ = 3719203488. Its totient is φ = 265605120.

The previous prime is 1105531013. The next prime is 1105531057. The reversal of 1105531020 is 201355011.

1105531020 is a `hidden beast` number, since 1 + 10 + 553 + 102 + 0 = 666.

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 1105530984 and 1105531002.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 4203409 + ... + 4203671.

Almost surely, 21105531020 is an apocalyptic number.

1105531020 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 1105531020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1859601744).

1105531020 is an abundant number, since it is smaller than the sum of its proper divisors (2613672468).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

1105531020 is a wasteful number, since it uses less digits than its factorization.

1105531020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 493 (or 477 counting only the distinct ones).

The product of its (nonzero) digits is 150, while the sum is 18.

The square root of 1105531020 is about 33249.5266131715. The cubic root of 1105531020 is about 1034.0073939414.

Adding to 1105531020 its reverse (201355011), we get a palindrome (1306886031).

The spelling of 1105531020 in words is "one billion, one hundred five million, five hundred thirty-one thousand, twenty".